Displaying similar documents to “Tables for a statistical quality control test”

On the two-sided quality control

František Rublík (1982)

Aplikace matematiky

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Let the random variable X have the normal distribution N ( μ , σ 2 ) . Explicit formulas for maximum likelihood estimator of μ , σ are derived under the hypotheses μ + c σ ≤ m + δ , μ - c σ ≥ m - δ , where c , m , δ are arbitrary fixed numbers. Asymptotic distribution of the likelihood ratio statistic for testing this hypothesis is derived and some of its quantiles are presented.

Testing a tolerance hypothesis by means of an information distance

František Rublík (1990)

Aplikace matematiky

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In the paper a test of the hypothesis μ + c σ ≤ M , μ - c σ ≥ m on parameters of the normal distribution is presented, and explicit formulas for critical regions are derived for finite sample sizes. Asymptotic null distribution of the test statistic is investigated under the assumption, that the true distribution possesses the fourth moment.

Tables for the two-sample Haga test of location

Stanislav Hojek (1978)

Aplikace matematiky

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The rank statistic H based on the number of exceeding observations in two samples is suitable for testing difference in location of two samples. This paper contains tables of one-sides significance levels P { H ≥ k } for k = 7 , 8 , ... , 11 ; m a x ( 2 , n - 10 ) < m ≤ n ≤ 25 , k = 9 , 10 , ... , 13 ; m a x ( 2 , n - 15 ) < m ≤ n - 10 ; 13 ≤ n ≤ 25 ; k = 11 , 12 , ... , 15 ; 2 < m ≤ n - 15 , 18 ≤ n ≤ 25 , which includes almost all practically used significance levels for 3 ≤ m ≤ n ≤ 25 , where m , n are the sample sizes.